Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
Remember that when you find 30% of the number you have to subtract the 30% from your original $90 because it is 30% off the original price.
Initial balance, I = $2376.10 .
Total amount of purchase made, A = $( 875.22+65.75+45.22+21.23 ) = $1007.42 .
Total amount credit, c = $875.22 .
Fine, f = $45.30 .
Another purchase,
.
So, balance left is :
B = I - A - f - a + c
B = 2376.10 - 1007.42 - 45.30 - 59.4025 + 875.22
B = $2139.1975
Hence, this is the required solution.
Answer:
true
Step-by-step explanation:
the line is going down. if it was positive then it would be going from left all to right going up.
Answer:60
Step-by-step explanation:
3 ways to pick the meat,
4 ways to pick the eggs,
5 ways to pick the cereal.
For each of the 3 meats you can pick any of the 4 egg dishes, so 12 ways to pick a meat and an egg dish.
For each of those 12 you can pick any of the 5 cereals, so 60 ways to pick the meal.